A primer of special relativity by P.L. Sardesai PDF

By P.L. Sardesai

ISBN-10: 8122415202

ISBN-13: 9788122415209

A whole bankruptcy during this name is dedicated to functions of the idea to explain lots of themes the scholars (B.Sc. Physics) encounter in glossy Physics. exact and well-selected examples are used to light up points of the idea in addition to to teach options of program. various Illustrative Examples permits the scholars to achieve self assurance to unravel any challenge in relativity often anticipated of B.Sc. scholars. The publication meets the whole requisites of a textbook for B.Sc. common and Honours classes in specified conception of relativity suggested by means of the U.G.C. latest syllabi in a couple of our universities were taken under consideration in making plans the booklet. The constitution of the ebook allows loads of flexibility. The ebook can accordingly be used as a textual content for a couple of present classes (with diversified distributed sessions) almost immediately customary in lots of Indian Universities.

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A whole bankruptcy during this name is dedicated to functions of the speculation to explain various themes the scholars (B. Sc. Physics) come upon in glossy Physics. specified and well-selected examples are used to light up points of the speculation in addition to to teach ideas of software. plenty of Illustrative Examples allows the scholars to achieve self belief to unravel any challenge in relativity often anticipated of B.

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Example text

The region between the light lines consists of (i) events lying in the absolute future and (ii) events lying in the absolute past with respect to the event O (0, 0). The region outside is referred to as conditional present. Any event in this region cannot be specified as before or after the event O(0, 0) in an absolute sense. The sequence can be different in different inertial frames. In (X, Y, t) diagram, instead of light lines x = ± ct, we have conical surfaces made of events which are light like with respect to the event O(0, 0).

They represent light signals travelling along the +ve and –ve X-axis respectively. Consider the pair of events O(0, 0) and P(dx, dt) in the sector B¢OB of the diagram. The interval between these events is timelike because (dx2 – c2dt2) is negative. (Note that dx = vdt where v < c). Since dt is positive, event P occurs after event O in S frame. Since the interval must be timelike in all inertial frames, there is no inertial frame in which event P occurs before event O. In other words all events represented by points in the sector B¢OB are absolutely in FUTURE with respect to event O(0, 0).

2 RELATIVITY OF SIMULTANEITY, COLOCALITY, ETC. Consider two events  x1¢, y1¢, z1¢, t1¢ and  x2¢ , y2¢ , z2¢ , t2¢  in frame S¢. (A) Coincident Events If the two events are coincident in S¢, then Dx¢ =  x2¢ - x1¢ = 0, similarly Dy¢ = Dz¢ = 0 (same place). Also Dt¢ = t2¢ - t1¢ = 0 (same time). In frame S, the above two events are described by (x1, y1, z1, t1) and (x2, y2, z2, t2). T. we get Dx = (x2 – x1) = G(Dx¢ + vDt¢) = 0. Also Dy = Dz = 0. Similarly v Dx ¢ ö æ Dt = (t2 – t1) = G ç Dt ¢ + ÷ =0 è c2 ø 38 A Primer of Special Relativity Thus the events are coincident in frame S also.

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A primer of special relativity by P.L. Sardesai


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